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Finding the Third Proportional to 109,219 and 235,204

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Solution

The third proportional to 109,219 and 235,204 is: 506,513.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,219 : 235,204 = 235,204 : x
  2. Step 2: Convert to fraction form
    109,219/235,204 = 235,204/x
  3. Step 3: Cross multiply
    109,219x = 235,204 × 235,204
  4. Step 4: Simplify right side
    109,219x = 55,320,921,616
  5. Step 5: Solve for x
    x = 55,320,921,616/109,219
  6. Step 6: Final answer
    x = 506,513.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.